{"id":7348,"date":"2017-05-09T20:47:00","date_gmt":"2017-05-09T20:47:00","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=7348"},"modified":"2019-05-24T19:42:58","modified_gmt":"2019-05-24T19:42:58","slug":"solve-proportions-and-their-applications","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/chapter\/solve-proportions-and-their-applications\/","title":{"raw":"Introduction to Solving Proportions and their Applications","rendered":"Introduction to Solving Proportions and their Applications"},"content":{"raw":"<h2>What you'll learn to do: Solve proportions and their applications<\/h2>\r\n[caption id=\"attachment_11719\" align=\"aligncenter\" width=\"1024\"]<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/09223629\/34371478292_475ab170a6_o.jpg\"><img class=\"wp-image-11719 size-large\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/09223629\/34371478292_475ab170a6_o-1024x671.jpg\" alt=\"A surgeon in the operating room \" width=\"1024\" height=\"671\" \/><\/a> Calculating the correct amount of anesthesia for a surgery requires using proportions.[\/caption]\r\n\r\nDr. Roberts is an anesthesiologist. When a patient undergoes surgery, she has to\u00a0calculate the right dose of anesthesia to administer to keep the patient\u00a0unconscious for the duration of the surgery. The amount of anesthesia is usually proportional to\u00a0the person's weight. A\u00a0125-pound person undergoing surgery for 3 hours will need a different amount of anesthesia than a 225-pound person undergoing surgery for 3 hours.\u00a0Dr. Roberts must carefully calculate proportions in order to make sure her patients receive the correct amounts of anesthesia for their surgeries.\u00a0In this section, you'll\u00a0learn how to solve proportions\u00a0and apply percents to equations\u00a0including proportions.\r\n\r\nBefore you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.\r\n<div class=\"textbox examples\">\r\n<h3>Readiness Quiz<\/h3>\r\n1)\r\n\r\n[ohm_question]146110[\/ohm_question]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/youtu.be\/T1PIfrU3NTw\r\n\r\n2)\r\n\r\n[ohm_question]146147[\/ohm_question]\r\n\r\nIf you missed this problem, review this video.\r\n\r\nhttps:\/\/youtu.be\/BN7iVWWl2y0\r\n\r\n3)\r\n\r\n[ohm_question]146616[\/ohm_question]\r\n\r\nIf you missed this problem, review the video below.\r\n\r\nhttps:\/\/youtu.be\/jlEJU-l5DWw\r\n\r\n<\/div>","rendered":"<h2>What you&#8217;ll learn to do: Solve proportions and their applications<\/h2>\n<div id=\"attachment_11719\" style=\"width: 1034px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/09223629\/34371478292_475ab170a6_o.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-11719\" class=\"wp-image-11719 size-large\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/09223629\/34371478292_475ab170a6_o-1024x671.jpg\" alt=\"A surgeon in the operating room\" width=\"1024\" height=\"671\" \/><\/a><\/p>\n<p id=\"caption-attachment-11719\" class=\"wp-caption-text\">Calculating the correct amount of anesthesia for a surgery requires using proportions.<\/p>\n<\/div>\n<p>Dr. Roberts is an anesthesiologist. When a patient undergoes surgery, she has to\u00a0calculate the right dose of anesthesia to administer to keep the patient\u00a0unconscious for the duration of the surgery. The amount of anesthesia is usually proportional to\u00a0the person&#8217;s weight. A\u00a0125-pound person undergoing surgery for 3 hours will need a different amount of anesthesia than a 225-pound person undergoing surgery for 3 hours.\u00a0Dr. Roberts must carefully calculate proportions in order to make sure her patients receive the correct amounts of anesthesia for their surgeries.\u00a0In this section, you&#8217;ll\u00a0learn how to solve proportions\u00a0and apply percents to equations\u00a0including proportions.<\/p>\n<p>Before you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.<\/p>\n<div class=\"textbox examples\">\n<h3>Readiness Quiz<\/h3>\n<p>1)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146110\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146110&theme=oea&iframe_resize_id=ohm146110&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the following video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Simplify Complex Fractions (2\/3)\/(5\/6) and (-8\/7)\/4\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/T1PIfrU3NTw?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>2)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146147\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146147&theme=oea&iframe_resize_id=ohm146147&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review this video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Solving One Step Equations Using Multiplication and Division (Basic)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/BN7iVWWl2y0?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>3)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146616\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146616&theme=oea&iframe_resize_id=ohm146616&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the video below.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-3\" title=\"Rates and Unit Rates\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/jlEJU-l5DWw?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-7348\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Solving One Step Equations Using Multiplication and Division (Basic). <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) for Lumen Learning. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/BN7iVWWl2y0\">https:\/\/youtu.be\/BN7iVWWl2y0<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/pdm\">Public Domain: No Known Copyright<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Surgeon. <strong>Authored by<\/strong>: sussexcareers. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.flickr.com\/photos\/33650767@N06\/34371478292\/\">https:\/\/www.flickr.com\/photos\/33650767@N06\/34371478292\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/pdm\">Public Domain: No Known Copyright<\/a><\/em><\/li><li>Rates and Unit Rates. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/jlEJU-l5DWw\">https:\/\/youtu.be\/jlEJU-l5DWw<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Simplify Complex Fractions (2\/3)\/(5\/6) and (-8\/7)\/4. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) for Lumen Learning. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/T1PIfrU3NTw\">https:\/\/youtu.be\/T1PIfrU3NTw<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Question ID: 146110, 146147, 146616. <strong>Authored by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: IMathAS Community License CC-BY + GPL<\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":21,"menu_order":21,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Surgeon\",\"author\":\"sussexcareers\",\"organization\":\"\",\"url\":\"https:\/\/www.flickr.com\/photos\/33650767@N06\/34371478292\/\",\"project\":\"\",\"license\":\"pd\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"},{\"type\":\"cc\",\"description\":\"Rates and Unit Rates\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/jlEJU-l5DWw\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Solving One Step Equations Using Multiplication and Division (Basic)\",\"author\":\"James Sousa (Mathispower4u.com) for Lumen Learning\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/BN7iVWWl2y0\",\"project\":\"\",\"license\":\"pd\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Simplify Complex Fractions (2\/3)\/(5\/6) and (-8\/7)\/4\",\"author\":\"James Sousa (Mathispower4u.com) for Lumen Learning\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/T1PIfrU3NTw\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Question ID: 146110, 146147, 146616\",\"author\":\"Lumen Learning\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"IMathAS Community License CC-BY + GPL\"}]","CANDELA_OUTCOMES_GUID":"9544cbce-9d32-4e69-8da2-707d957c92bc","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-7348","chapter","type-chapter","status-publish","hentry"],"part":7176,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/7348","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/users\/21"}],"version-history":[{"count":18,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/7348\/revisions"}],"predecessor-version":[{"id":15857,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/7348\/revisions\/15857"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/parts\/7176"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapters\/7348\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/media?parent=7348"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/pressbooks\/v2\/chapter-type?post=7348"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/contributor?post=7348"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/wm-prealgebra\/wp-json\/wp\/v2\/license?post=7348"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}